At 35 C and 5 atmospheres pressure the density ... - JAMB Physics 2015 Question
At 35°C and 5 atmospheres pressure the density of a gas is 0. 600g per liter. What is the density at 7 atmospheric pressure and 350°C.
A
0.27g / liters
B
0.25g / liters
C
17g / liters
D
0.15g / liters
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Correct Option: C
( \theta1 = 35°C T1 = 273 + θ = 73 + 35 = 308k P1 = 5 )atm
d1 = 0.600g/ litre
θ2 = 350°C, T2 = 2 + 3 + θ
= 273 + 350 = 623k, d2 = ?
P2 = 7atm
T a P a 1/d = TPK/d (where k is a constant)
Tp1 ÷ d1 = T1P2 ÷ d2, [(308 × 5) ÷ 0.600]
= (623 × 7) ÷ d2
d2 = (623 × 7 ×0.600) ÷ (308 × 5)
= 2616.6 ÷ 1540
= 1.69g / litresd2 = 1.69g / litres
∴ d2 = 1.70g / litres (Approx.)
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